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Finding the Fourth Proportional to 6,986.20, 9,641.02 and 3,799.50

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Solution

The fourth proportional to 6,986.20, 9,641.02 and 3,799.50 is: 5,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.20 : 9,641.02 = 3,799.50 : x
  2. Step 2: Convert to fraction form
    6,986.20/9,641.02 = 3,799.50/x
  3. Step 3: Cross multiply
    6,986.20x = 9,641.02 × 3,799.50
  4. Step 4: Simplify right side
    6,986.20x = 36,631,055.49
  5. Step 5: Solve for x
    x = 36,631,055.49/6,986.20
  6. Step 6: Final answer
    x = 5,243.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.